On the numerical simulation and convergence study for system of non-linear fractional dynamical model of marriage

Year 2017, Volume: 5 Issue: 4, 130 - 141, 01.10.2017

M. Mohamed Khader Aml Shloof Halima Ali

Abstract

In this
article, an implementation of an efficient numerical method for solving the
system of coupled non-linear fractional (Caputo sense) dynamical model of
marriage (FDMM) is introduced. The proposed system describes the dynamics of
love affair between couples. The method is based on the spectral collocation
method using Legendre polynomials. The proposed method reduces FDMM to a system
of algebraic equations, which solved using Newton iteration method. Special
attention is given to study the convergence analysis and deduce an error upper
bound of the resulting approximate solution. Numerical simulation is given to
show the validity and the accuracy of the proposed method.

Keywords

Coupled non-linear fractional dynamical model of marriage, Caputo fractional derivatives, Legendre collocation method

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